Question
Use the tables to answer the question.
Simon’s Results
This table shows the number of white and red balls Simon selected from Bowl A and Bowl B.
Number of White Balls Selected Number of Red Balls Selected
Bowl A 5 15
Bowl B 16 4
Clark’s Results
This table shows the number of white and red balls Clark selected from Bowl A and Bowl B.
Number of White Balls Selected Number of Red Balls Selected
Bowl A 45 55
Bowl B 60 40
Bowls A and B contain a number of white and red balls. Simon and Clark repeatedly selected a ball from both bowls and recorded the results in a table. Whose results will give you a better indication about the proportion of white and red balls in each bowl? Explain your answer.
(1 point)
Responses
Neither; they conducted the same number of trials.
Neither; they conducted the same number of trials.
Clark’s experiment. He conducted a greater number of trials than Simon.
Clark’s experiment. He conducted a greater number of trials than Simon.
Both results can be used, as they performed the experiment at random.
Both results can be used, as they performed the experiment at random.
Simon’s experiment. He conducted a greater number of trials than Clark.
Simon’s experiment. He conducted a greater number of trials than Clark.
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Simon’s Results
This table shows the number of white and red balls Simon selected from Bowl A and Bowl B.
Number of White Balls Selected Number of Red Balls Selected
Bowl A 5 15
Bowl B 16 4
Clark’s Results
This table shows the number of white and red balls Clark selected from Bowl A and Bowl B.
Number of White Balls Selected Number of Red Balls Selected
Bowl A 45 55
Bowl B 60 40
Bowls A and B contain a number of white and red balls. Simon and Clark repeatedly selected a ball from both bowls and recorded the results in a table. Whose results will give you a better indication about the proportion of white and red balls in each bowl? Explain your answer.
(1 point)
Responses
Neither; they conducted the same number of trials.
Neither; they conducted the same number of trials.
Clark’s experiment. He conducted a greater number of trials than Simon.
Clark’s experiment. He conducted a greater number of trials than Simon.
Both results can be used, as they performed the experiment at random.
Both results can be used, as they performed the experiment at random.
Simon’s experiment. He conducted a greater number of trials than Clark.
Simon’s experiment. He conducted a greater number of trials than Clark.
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Answers
GPT-4o mini
To determine whose results provide a better indication of the proportion of white and red balls in each bowl, we need to consider the number of trials each person conducted.
- **Simon’s Results:**
- Bowl A: 5 white, 15 red (Total = 20)
- Bowl B: 16 white, 4 red (Total = 20)
- **Clark’s Results:**
- Bowl A: 45 white, 55 red (Total = 100)
- Bowl B: 60 white, 40 red (Total = 100)
Clark has conducted a greater number of trials (100 total selections) compared to Simon (40 total selections), making Clark's results more reliable for estimating the proportions of white and red balls in each bowl.
Therefore, the best response is:
**Clark’s experiment. He conducted a greater number of trials than Simon.**
- **Simon’s Results:**
- Bowl A: 5 white, 15 red (Total = 20)
- Bowl B: 16 white, 4 red (Total = 20)
- **Clark’s Results:**
- Bowl A: 45 white, 55 red (Total = 100)
- Bowl B: 60 white, 40 red (Total = 100)
Clark has conducted a greater number of trials (100 total selections) compared to Simon (40 total selections), making Clark's results more reliable for estimating the proportions of white and red balls in each bowl.
Therefore, the best response is:
**Clark’s experiment. He conducted a greater number of trials than Simon.**